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Simplifying -2 = -4(3 + -6z) + -2z -2 = (3 * -4 + -6z * -4) + -2z -2 = (-12 + 24z) + -2z Combine like terms: 24z + -2z = 22z -2 = -12 + 22z Solving -2 = -12 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. -2 + -22z = -12 + 22z + -22z Combine like terms: 22z + -22z = 0 -2 + -22z = -12 + 0 -2 + -22z = -12 Add '2' to each side of the equation. -2 + 2 + -22z = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -22z = -12 + 2 -22z = -12 + 2 Combine like terms: -12 + 2 = -10 -22z = -10 Divide each side by '-22'. z = 0.4545454545 Simplifying z = 0.4545454545
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